Problem $3$: $(35$ Points$)$

For the frictionless wall shown below, calculate the following:

Earth pressure distribution with depth

Resultant forces and locations, ratio of passive moment to active moment

Decide if the wall will rotate? If the wall rotates, design the wall so that it will not rotate$($by changing the length of the wall$)$

Soil $1$ sat $=19k\frac{N}{m}3$;$Q^{\text{'}}=25$; Soil $2sat=18k\frac{N}{m}3$;$Q^{\text{'}}=23$

h$1=3$ h$2=4$ hw$=2$ hexcav$=5$